In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,
y - y₁ = m(x - x₁)
Substituting the known values,
y - 1 = (2/3)(x - 1)
Simplifying,
3y - 3 = 2x - 2
Further simplifying,
<em> 2x - 3y = -1</em>
Answer:
The midpoint between the joining points C and D is (2, -3)
Step-by-step explanation:
How to find a midpoint
- 1: Label the coordinates(x₁,y₁) and (x₂,y₂).
- 2: Input the values into the formula.
- 3: Add the values in the parentheses and divide each result by 2.
- 4: The new values form the new coordinates of the midpoint.
Suppose we have a line segment and want to cut that section into two equal parts. To do so, we need to know the center. We can achieve this by finding the midpoint. You could measure with a ruler or just use a formula involving the coordinates of each endpoint of the segment. The midpoint is simply the average of each coordinate of the section, forming a new coordinate point. We shall illustrate this below.
Midpoint formula
If we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2. This forms a new coordinate you can call (x₃,y₃). It is possible to divide a line segment into any given ratio, not just 1:1.
Answer: x=80
Step-by-step explanation: You add 14 to both sides of the equation. The left side of the equation cancels out leaving you with 80
